What is the Greatest Common Factor of 5056 and 5074?

Greatest common factor (GCF) of 5056 and 5074 is 2.

GCF(5056,5074) = 2

We will now calculate the prime factors of 5056 and 5074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5056 and 5074.

How to find the GCF of 5056 and 5074?

We will first find the prime factorization of 5056 and 5074. After we will calculate the factors of 5056 and 5074 and find the biggest common factor number .

Step-1: Prime Factorization of 5056

Prime factors of 5056 are 2, 79. Prime factorization of 5056 in exponential form is:

5056 = 2⁶ × 79¹

Step-2: Prime Factorization of 5074

Prime factors of 5074 are 2, 43, 59. Prime factorization of 5074 in exponential form is:

5074 = 2¹ × 43¹ × 59¹

Step-3: Factors of 5056

List of positive integer factors of 5056 that divides 5056 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528

Step-4: Factors of 5074

List of positive integer factors of 5074 that divides 5056 without a remainder.

1, 2, 43, 59, 86, 118, 2537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5056 and 5074. The biggest common factor number is the GCF number.
So the greatest common factor 5056 and 5074 is 2.

Also check out the Least Common Multiple of 5056 and 5074